Finding the Fourth Proportional to 2,023.85, 2,786.78 and 1,728.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,023.85 : 2,786.78 = 1,728.47 : x
2. Step 2: Convert to fraction form
   2,023.85/2,786.78 = 1,728.47/x
3. Step 3: Cross multiply
   2,023.85x = 2,786.78 × 1,728.47
4. Step 4: Simplify right side
   2,023.85x = 4,816,856.01
5. Step 5: Solve for x
   x = 4,816,856.01/2,023.85
6. Step 6: Final answer
   x = 2,380.05